f(x) = a (x - h)? + k Examples: vertex: (-1, 5); point: (0. 8); direction of opening: upward vertex: (3, -3); point: (2, -7); direction of opening: downy Writing a Quadratic Equation given axis of symmetry, direction of the opening, & 2 other points f(x) = a (x - h)2 + k Steps Explanation AOS: x = -2 Opens Up Points: AOS: x = 2 Opens Down (-4,-7) & (3, 14) Points: (-1,-30) & (3, -6) 01 - 7 Use the axis of symmetry to 1. Find reflect a given point and X identify a third point. Use the 3 points to run a y 4 quadratic regression. Write 2. Regression - 30 537- they your function in standard 3 - b form. Convert to vertex form if 3. Convert necessary. ( 2 + 2 ) 3 - 11 = vy - 3 ( 7 - 2 ) 2 - 3 = y EXAMPLES: AOS: x = 3, opens down, other points: (1, -8) and (4,-5) AOS: x = 1, opens up, other points: (-2, 42) and (0,10)